JEE Mains Previous Years Questions with Solutions Android App

Download our App

JEE Mains Previous Years Questions with Solutions

4.5 
star star star star star
  (100k+ download)
1

JEE Main 2015 (Offline)

MCQ (Single Correct Answer)
When $$5V$$ potential difference is applied across a wire of length $$0.1$$ $$m,$$ the drift speed of electrons is $$2.5 \times {10^{ - 4}}\,\,m{s^{ - 1}}.$$ If the electron density in the wire is $$8 \times {10^{28}}\,\,{m^{ - 3}},$$ the resistivity of the material is close to :
A
$$1.6 \times {10^{ - 6}}\Omega m$$
B
$$1.6 \times {10^{ - 5}}\Omega m$$
C
$$1.6 \times {10^{ - 8}}\Omega m$$
D
$$1.6 \times {10^{ - 7}}\Omega m$$

Explanation

$$V = IR = \left( {neA{v_d}} \right)\rho {\ell \over A}$$

$$\therefore$$ $$\rho = {V \over {{V_d}\ln e}}$$

Here $$V=$$ potential difference

$$l = $$ length of wire

$$n=$$ no. of electrons per unit volume of conductor.

$$e=$$ no. of electrons

Placing the value of above parameters we get resistivity

$$\rho = {5 \over {8 \times {{10}^{28}} \times 1.6 \times {{10}^{ - 19}} \times 2.5 \times {{10}^{ - 4}} \times 0.1}}$$

$$ = 1.6 \times {10^{ - 5}}\Omega m$$
2

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)
In a large building, three are $$15$$ bulbs of $$40$$ $$W$$, $$5$$ bulbs of $$100$$ $$W$$, $$5$$ fans of $$80$$ $$W$$ and $$1$$ heater of $$1$$ $$kW.$$ The voltage of electric mains is $$220$$ $$V.$$ The minimum capacity of the main fuse of the building will be:
A
$$8$$ $$A$$
B
$$10$$ $$A$$
C
$$12$$ $$A$$
D
$$14$$ $$A$$

Explanation

Total power consumed by electrical appliances in the building, $${P_{total}} = 2500W$$

Watt $$=$$ Volt $$ \times $$ ampere

$$ \Rightarrow 2500 = V \times {\rm I}$$

$$ \Rightarrow 2500 = 220$$ $${\rm I}$$

$$ \Rightarrow I = {{2500} \over {220}} = 11.36 \approx 12A$$

(Minimum capacity of main fuse)
3

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)
This questions has Statement - $${\rm I}$$ and Statement - $${\rm I}$$$${\rm I}$$. Of the four choices given after the Statements, choose the one that best describes into two Statements.

Statement - $${\rm I}$$ : Higher the range, greater is the resistance of ammeter.
Statement - $${\rm I}$$$${\rm I}$$ : To increase the range of ammeter, additional shunt needs to be used across it.

A
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is true, Statement - $${\rm II}$$ is the correct explanation of statement - $${\rm I}$$.
B
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is true, Statement - $${\rm II}$$ is not the correct explanation of statement - $${\rm I}$$.
C
Statement - $${\rm I}$$ is true, Statement - $${\rm II}$$ is false
D
Statement - $${\rm I}$$ is false, Statement - $${\rm II}$$ is true

Explanation

Statements $${\rm I}$$ is false and Statement $${\rm I}$$$${\rm I}$$ is true

For ammeter, shunt resistance, $$S = {{{{\rm I}_g}G} \over {{\rm I} - {{\rm I}_g}}}$$

Therefore for $${\rm I}$$ to increase, $$S$$ should decrease, So additional $$S$$ can be connected across it.
4

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)
The supply voltage to room is $$120V.$$ The resistance of the lead wires is $$6\Omega $$. A $$60$$ $$W$$ bulb is already switched on. What is the decrease of voltage across the bulb, when a $$240$$ $$W$$ heater is switched on in parallel to the bulb?
A
zero
B
$$2.9$$ Volt
C
$$13.3$$ Volt
D
$$10.04$$ Volt

Explanation



Power of bulb $$=60W$$ $$\left( {given} \right)$$

Resistance of bulb $$ = {{120 \times 120} \over {60}} = 240\Omega $$

$$\left[ {\,\,} \right.$$ $$\left. {\,P = {{{V^2}} \over R}\,} \right]$$

Power of heater $$=240W$$ (given)

Resistance of heater $$ = {{120 \times 120} \over {240}} = 60\Omega $$

Voltage across bulb before heater is switched on,

$${V_1} = {{240} \over {246}} \times 120 = 117.73\,\,$$ volt

Voltage across bulb after heater is switched on,

$${V_2} = {{48} \over {54}} \times 120 = 106.66$$ volt

Hence decrease in voltage

$${V_1} - {V_2} = 117.073 - 106.66 = 10.04$$ Volt (approximately)

Questions Asked from Current Electricity

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2021 (Online) 1st September Evening Shift (4)
keyboard_arrow_right
JEE Main 2021 (Online) 31st August Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 31st August Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 27th August Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 27th August Morning Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 26th August Evening Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 26th August Morning Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 27th July Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 27th July Morning Shift (4)
keyboard_arrow_right
JEE Main 2021 (Online) 25th July Evening Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 25th July Morning Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 20th July Morning Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 18th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 17th March Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March Evening Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 16th March Morning Shift (1)
keyboard_arrow_right
JEE Main 2021 (Online) 26th February Evening Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 26th February Morning Shift (3)
keyboard_arrow_right
JEE Main 2021 (Online) 25th February Evening Shift (2)
keyboard_arrow_right
JEE Main 2021 (Online) 24th February Morning Shift (3)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Evening Slot (4)
keyboard_arrow_right
JEE Main 2020 (Online) 6th September Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 5th September Evening Slot (3)
keyboard_arrow_right
JEE Main 2020 (Online) 5th September Morning Slot (4)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Evening Slot (3)
keyboard_arrow_right
JEE Main 2020 (Online) 4th September Morning Slot (2)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd September Evening Slot (2)
keyboard_arrow_right
JEE Main 2020 (Online) 3rd September Morning Slot (3)
keyboard_arrow_right
JEE Main 2020 (Online) 2nd September Evening Slot (4)
keyboard_arrow_right
JEE Main 2020 (Online) 2nd September Morning Slot (2)
keyboard_arrow_right
JEE Main 2020 (Online) 9th January Evening Slot (3)
keyboard_arrow_right
JEE Main 2020 (Online) 9th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Evening Slot (4)
keyboard_arrow_right
JEE Main 2020 (Online) 8th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2020 (Online) 7th January Evening Slot (3)
keyboard_arrow_right
JEE Main 2020 (Online) 7th January Morning Slot (1)
keyboard_arrow_right
JEE Main 2019 (Online) 12th April Evening Slot (3)
keyboard_arrow_right
JEE Main 2019 (Online) 12th April Morning Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2019 (Online) 10th April Morning Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Evening Slot (4)
keyboard_arrow_right
JEE Main 2019 (Online) 9th April Morning Slot (3)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Evening Slot (4)
keyboard_arrow_right
JEE Main 2019 (Online) 8th April Morning Slot (6)
keyboard_arrow_right
JEE Main 2019 (Online) 12th January Evening Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 12th January Morning Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Evening Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 11th January Morning Slot (5)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Evening Slot (4)
keyboard_arrow_right
JEE Main 2019 (Online) 10th January Morning Slot (6)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Evening Slot (3)
keyboard_arrow_right
JEE Main 2019 (Online) 9th January Morning Slot (4)
keyboard_arrow_right
JEE Main 2018 (Online) 16th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Evening Slot (2)
keyboard_arrow_right
JEE Main 2018 (Offline) (2)
keyboard_arrow_right
JEE Main 2018 (Online) 15th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2017 (Online) 9th April Morning Slot (3)
keyboard_arrow_right
JEE Main 2017 (Online) 8th April Morning Slot (2)
keyboard_arrow_right
JEE Main 2017 (Offline) (3)
keyboard_arrow_right
JEE Main 2016 (Online) 10th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2016 (Online) 9th April Morning Slot (1)
keyboard_arrow_right
JEE Main 2016 (Offline) (1)
keyboard_arrow_right
JEE Main 2015 (Offline) (2)
keyboard_arrow_right
JEE Main 2014 (Offline) (1)
keyboard_arrow_right
JEE Main 2013 (Offline) (2)
keyboard_arrow_right
AIEEE 2012 (1)
keyboard_arrow_right
AIEEE 2011 (1)
keyboard_arrow_right
AIEEE 2010 (2)
keyboard_arrow_right
AIEEE 2008 (4)
keyboard_arrow_right
AIEEE 2007 (2)
keyboard_arrow_right
AIEEE 2006 (5)
keyboard_arrow_right
AIEEE 2005 (7)
keyboard_arrow_right
AIEEE 2004 (10)
keyboard_arrow_right
AIEEE 2003 (6)
keyboard_arrow_right
AIEEE 2002 (6)
keyboard_arrow_right

Joint Entrance Examination

JEE Advanced JEE Main

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE ME GATE PI GATE EE GATE CE GATE IN

Medical

NEET

CBSE

Class 12